If 20% percent of the trees in a certain park are evergreen, and 40% of the non evergreens are maple trees, and there are 75% as many oak trees as maple trees in the park, what percent of the trees in the park are not maples, oaks or evergreens?
(A) 10%
(B) 12%
(C) 20%
(D) 24%
(E) 25%
OA D
Source: Princeton Review
If 20% percent of the trees in a certain park are evergreen, and 40% of the non evergreens are maple trees, and there
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BTGmoderatorDC wrote: ↑Mon Sep 26, 2022 4:32 pmIf 20% percent of the trees in a certain park are evergreen, and 40% of the non evergreens are maple trees, and there are 75% as many oak trees as maple trees in the park, what percent of the trees in the park are not maples, oaks or evergreens?
(A) 10%
(B) 12%
(C) 20%
(D) 24%
(E) 25%
OA D
Source: Princeton Review
20 are evergreen and so 80 are nonevergreen. Thus, 0.4 x 80 = 32 are maple.
The phrase “there are 75 percent as many oak trees as maple trees” means that the number of oaks is 75% of the number of maple trees. Thus, there are 3/4 x 32 = 24 oak trees.
So the percent that are not any of the above types is 100  20  32  24 = 24.
Answer: D
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